On gauge transformation property of coordinate independent SO(9) vector states in SU(2) Matrix Theory
arXiv:1008.2580 · doi:10.1007/JHEP09(2010)075
Abstract
We investigate coordinate independent SO(9) vector states in SU(2) Matrix theory. There are 36 vector states, and we determine what representations of SU(2) they are decomposed into. Among them we find a unique set of states transforming in adjoint representation. We show that this set of states can appear as the linear term in the coordinate matrices in Taylor expansion of zero energy bound state wavefunction around the origin i.e. it satisfies the condition of full supersymmetry.
21 pages, no figure, v2: minor correction v3: signs in (3.46) and (3.51) corrected, further calculation on the linear term of the expansion of the wavefunction added, and the conclusion about it changed, v3: minor change in the references, version published in JHEP